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Finding the Fourth Proportional to 9,482, 14,216.52 and 5,785.52

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Solution

The fourth proportional to 9,482, 14,216.52 and 5,785.52 is: 8,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482 : 14,216.52 = 5,785.52 : x
  2. Step 2: Convert to fraction form
    9,482/14,216.52 = 5,785.52/x
  3. Step 3: Cross multiply
    9,482x = 14,216.52 × 5,785.52
  4. Step 4: Simplify right side
    9,482x = 82,249,960.79
  5. Step 5: Solve for x
    x = 82,249,960.79/9,482
  6. Step 6: Final answer
    x = 8,674.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.